Analytical Mechanics

 7.5 ECTS credits
The mathematical structure of mechanics:
- review of Newton's description of mechanics
- generalised coordinates, Lagrange and Hamilton equations, variational calculus, Hamilton's principle
- symmetries and conservation laws
- canonical transformations, Poisson brackets
- inertial systems, Galilei transformations
- mathematical tools: calculus of variations, Legendre transformation, tensor calculus, separation of variables

Applications:
- holonomic and nonholonomic constraints
- two-body problem, Kepler problem
- kinematics of rigid bodies, dynamics of rigid bodies
- small oscillations
- the body in magnetic fields, vortices in fluids
- electrical circuits

Progressive specialisation: A1N (has only first鈥恈ycle course/s as entry requirements)
Education level: Master's level
Admission requirements
45 ECTS credits in Physics, including Mechanics with Applications 1, 7.5 ECTS credits, Mechanics with Applications 2, 7.5 ECTS credits, and Introductory Modern Physics, 7.5 ECTS credits, plus 30 ECTS credits in Mathematics, including Complex Analysis and Transforms, 7.5 ECTS credits, plus upper secondary level English 6, or equivalent
Selection:

Selection is usually based on your grade point average from upper secondary school or the number of credit points from previous university studies, or both.

This course is included in the following programme

More information

  • Start Autumn 2025
  • Mode of study Campus
  • Language English, if required by international students
  • Course code FYAD16
  • Application code KAU-47638
  • Study pace 50% (Day)
  • Study period week 36鈥45
  • Schedule
  • Reading list
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